Search a number
-
+
5308158336 = 273131762549
BaseRepresentation
bin1001111000110010…
…00001000110000000
3111200221020101022220
410330121001012000
541332342031321
62234420131040
7245353413165
oct47431010600
914627211286
105308158336
112284353a18
121041836a80
13667954bc0
14384d9a06c
152110279c6
hex13c641180

5308158336 has 128 divisors (see below), whose sum is σ = 16077852000. Its totient is φ = 1537179648.

The previous prime is 5308158313. The next prime is 5308158337. The reversal of 5308158336 is 6338518035.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5308158337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53590 + ... + 116138.

Almost surely, 25308158336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5308158336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8038926000).

5308158336 is an abundant number, since it is smaller than the sum of its proper divisors (10769693664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5308158336 is a wasteful number, since it uses less digits than its factorization.

5308158336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62596 (or 62584 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 5308158336 is about 72857.1090285636. The cubic root of 5308158336 is about 1744.4075444048.

The spelling of 5308158336 in words is "five billion, three hundred eight million, one hundred fifty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 272 312 384 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1664 1768 2176 2496 2652 3264 3536 4992 5304 6528 7072 10608 14144 21216 28288 42432 62549 84864 125098 187647 250196 375294 500392 750588 813137 1000784 1063333 1501176 1626274 2001568 2126666 2439411 3002352 3189999 3252548 4003136 4253332 4878822 6004704 6379998 6505096 8006272 8506664 9757644 12009408 12759996 13010192 13823329 17013328 19515288 24018816 25519992 26020384 27646658 34026656 39030576 41469987 51039984 52040768 55293316 68053312 78061152 82939974 102079968 104081536 110586632 136106624 156122304 165879948 204159936 221173264 312244608 331759896 408319872 442346528 663519792 884693056 1327039584 1769386112 2654079168 5308158336